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Search: id:A158062
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| 34, 140, 318, 568, 890, 1284, 1750, 2288, 2898, 3580, 4334, 5160, 6058, 7028, 8070, 9184, 10370, 11628, 12958, 14360, 15834, 17380, 18998, 20688, 22450, 24284, 26190, 28168, 30218, 32340, 34534, 36800, 39138, 41548, 44030, 46584, 49210, 51908
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OFFSET
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1,1
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COMMENT
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If A=[A158062] 36*n.^2-2*n (n>0, 34, 140, 318,., ,.,); Y=[A010722] 6 (6, 6, 6,..,); X=[A044518] 36*n-1 (n>0, 35, 71, 107, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 35^2-34*6^2=1; 71^2-140*6^2=1; 107^2-318*6^2=1.
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LINKS
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Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Edward Everett Withford, Pell Equation
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FORMULA
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a(n)=36*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=34; n=2, a(2)=140; n=3, a(3)=318
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CROSSREFS
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Cf. A010722, A044518
Sequence in context: A010021 A044366 A044747 this_sequence A141127 A153465 A105714
Adjacent sequences: A158059 A158060 A158061 this_sequence A158063 A158064 A158065
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009
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